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A219883
T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array
12
3, 3, 6, 6, 7, 10, 10, 11, 21, 15, 15, 17, 47, 46, 21, 21, 24, 129, 146, 87, 28, 28, 32, 292, 621, 410, 151, 36, 36, 41, 600, 2190, 2645, 1069, 247, 45, 45, 51, 1158, 6965, 14536, 10350, 2701, 386, 55, 55, 62, 2148, 21035, 74998, 89795, 40239, 6645, 581, 66, 66, 74
OFFSET
1,1
COMMENTS
Table starts
..3....3......6......10........15........21.........28.........36........45
..6....7.....11......17........24........32.........41.........51........62
.10...21.....47.....129.......292.......600.......1158.......2148......3863
.15...46....146.....621......2190......6965......21035......60891....171009
.21...87....410....2645.....14536.....74998.....371384....1780796...8327951
.28..151...1069...10350.....89795....764027....6337533...51044999.398508546
.36..247...2701...40239....565824...8017398..113313853.1558416287
.45..386...6645..155199...3605746..85092182.2047979807
.55..581..15787..581728..22430565.882578607
.66..847..36047.2085519.132945658
.78.1201..79071.7121374
.91.1662.166909
LINKS
EXAMPLE
Some solutions for n=3 k=4
..1..1..0..0....2..2..0..0....1..0..0..0....1..0..0..0....0..0..0..0
..1..1..0..1....2..2..0..0....0..0..0..0....1..0..0..0....0..0..0..0
..1..1..0..0....2..2..0..0....0..0..0..2....2..0..2..0....0..2..0..2
CROSSREFS
Column 1 is A000217(n+1)
Column 2 is A219589
Row 1 is A000217 for n>1
Row 2 is A046691 for n>2
Sequence in context: A175394 A070318 A257537 * A219381 A219852 A023842
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 30 2012
STATUS
approved